Compressive system identification (CSI): theory and applications of exploiting sparsity in the analysis of high-dimensional dynamical systems
The information content of many phenomena of practical interest is often much less than what is suggested by their actual size. As an inspiring example, one active research area in biology is to understand the relations between the genes. While the number of genes in a so-called gene network can be large, the number of contributing genes to each given gene in the network is usually small compared to the size of the network. In other words, the behavior of each gene can be expressed as a sparse combination of other genes. The purpose of this thesis is to develop new theory and algorithms for ...
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